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Modeling Subdiffusion Using Reaction Diffusion Systems
2009
SIAM Journal on Applied Mathematics
In many types of media, and in particular within living cells or within their membranes, diffusing species do not follow Fick's laws, but instead show transient subdiffusive behavior. Formulating spatiotemporal models that take this behavior into account is a delicate matter, as one is faced with the choice of resorting either to fractional calculus or to microscopic descriptions. In this article, we provide an alternative designed to be easier to tackle analytically and numerically than the
doi:10.1137/070681648
fatcat:ryn7uvzj55bvpl2ihxabs2thza